English

The group of rational points on the Holm curve is torsion-free

Number Theory 2020-02-04 v1

Abstract

Using the division polynomials for elliptic curves in Weierstrass form, it shown that the group of rational points on the curve H:ky(yy1)=lx(xx1)H: ky(yy - 1) = lx(xx - 1) is torsion-free.

Keywords

Cite

@article{arxiv.2002.00295,
  title  = {The group of rational points on the Holm curve is torsion-free},
  author = {Fredrick M. Nelson},
  journal= {arXiv preprint arXiv:2002.00295},
  year   = {2020}
}